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A man has to reach a place 40 kms away. He walks at the rate of 4 km per hr. for the first 16 kms and then he hires a rickshaw for the rest of the journey. However if he had travelled by the rickshaw for the first 16 kms and the remaining distance on foot at 4 km per hr, he would have taken an hour longer to complete the journey. Find the speed of rickshaw.
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- 6.5 kmph
- 7.5 kmph
- 6 kmph
- 8 kmph
Correct Option: D
Let the speed of Rickshaw be 'x ' .
Then, time taken to cover 16 km on foot and 24 km on Rikshaw
| = | + | hrs | ||
| 4 | x |
and time taken to travel 24 km on foot & 16 km on Rikshaw
| = | + | hrs | ||
| x | 4 |
According to question,
| = | + | + 1 = | + | ||||
| 4 | x | x | 4 |
| ⇒ | = | + 6 | ||
| x | x |
| ⇒ | = 1 | |
| x |
⇒ x = 8 km/hr
